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Finding the Fourth Proportional to 100,325.26, 138,399.87 and 84,403.90

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Solution

The fourth proportional to 100,325.26, 138,399.87 and 84,403.90 is: 116,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,325.26 : 138,399.87 = 84,403.90 : x
  2. Step 2: Convert to fraction form
    100,325.26/138,399.87 = 84,403.90/x
  3. Step 3: Cross multiply
    100,325.26x = 138,399.87 × 84,403.90
  4. Step 4: Simplify right side
    100,325.26x = 11,681,488,787.49
  5. Step 5: Solve for x
    x = 11,681,488,787.49/100,325.26
  6. Step 6: Final answer
    x = 116,436.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.